Which of the following equations has a graph that passes through (3, 3) and has a slope of −2?
2 answers:
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The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)
Step-by-step explanation:
The point-slope form of a linear equation is:
, where
- m is the slope of the line
is a point on the line
Any point on the line is a solution for the equation of the line
The solution of an equation is the values of x and y which make the left hand side is equal to the right hand side
∵ The equation is y - 4 = 7(x - 6)
- Compare the equation by the point-slope form above
∴ m = 7
∴ = 6 and
= 4
- That means point (6 , 6) lies on the line
∴ Point (6 , 4) is a point on the line which represents the
given equation
∵ Any point on a line is a solution of the equation of that line
∴ (6 , 4) is a solution of the equation
The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)
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Answer:
1. ridescost+admission=total
if x=number of tickets and y is total and cost per ride is 1.25 then
1.25x+admission=y
if we solve
when x=25, y=43.75
1.25(25)+admission=43.75
31.25+admission=43.75
minus 31.25 from both sides
admission=12.50
a.
y=1.25x+12.5
b.
x is number of tickets and y is total cost
c. math, seriously, just read what is above option a (the one in the top of the answer)
if you're too lazy then:
ridescost+admission=total
if x=number of tickets and y is total and cost per ride is 1.25 then
1.25x+admission=y
if we solve
when x=25, y=43.75
2.
(a)
m = (y2 - y1) / (x2 - x1) = (4 - 9)/(-2 - 8) = -5/(-10) = 1/2
(b)
y - y1 = m(x - x1)
Using the first given point,
y - 9 = (1/2)(x - 8)
Using the second given point,
y - 4 = (1/2)(x + 2)
note they both simplify to
y = (1/2)x + 5
(c)
y = (1/2)x + 5
3.
